In the Jordan-frame treatment of f(R) gravity the scalaron-photon effective coupling vanishes for m much less than loop-particle masses because the classical-trace diagrams cancel the Fujikawa anomaly term.
Shtanov, Universe8(2022) 2, 69 [e-Print: 2202.00818]
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Effective scalaron--photon interaction in $f(R)$ gravity
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The conformal frame problem in scalar-tensor theories stems from incomplete transformation rules for parameters and overlooked Ward identities; active conformal transformations provide the suitable framework while passive ones do not.
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